Alg 2.5 & 2.6 Properties Review

Name the property that states the way in which numbers are grouped does not change its sum.

• Associative Property of Addition
• Commutative Property of Addition
• Commutative Property of Multiplication
• Distributive Property 

Which property states that the order in which numbers are multiplied does not change its product? 

• Commutative Property of Multiplication 
• Associative Property of Addition
• Commutative Property of Addition 
• Associative Property of Multiplication 

This property states that the product of a number and its reciprocal is 1.

• Multiplicative Property of −1
• Identity Property of Multiplication
• Inverse Property of Multiplication
• Multiplicative Property of Zero

What property states that the sum of any number and its opposite equals zero?

• Inverse Property of Addition
• Identity Property of Addition
• Inverse Property of Multiplication
• Multiplicative Property of Zero

Which of these illustrates the Distributive Property?

• 6 x (3 x 2) = (6 x 3) x 2
• 6 (3 + 2) = 6(3) + 6(2)
• 6(32) = (36)2
• (6 x 3) x 0 = 0

The example below demonstrates which property:
8 + (3 + 7) = (3 + 7) + 8

• Associative Property of Addition
• Commutative Property of Multiplication
• Commutative Property of Addition
• Associative Property of Multiplication

(6 × 7) × 0 = 0 demonstrates what property?

• Distributive Property
• Associative Property of Multiplication
• Multiplicative Property of Zero
• Inverse Property of Multiplication

Which of the following represents (9 + 7) x (5 + 8) using the Commutative Property of Multiplication?

• (5 + 8) × (9 +7)
• (7 + 9) × (8 + 5)
• 9 + (7 x 5) + 8
• (9 × 7) × (5 × 8)

Use the distributive property to simplify
5(a + 6)

• 5a + 6
• a + 30
• 5a + 30
• 5a - 30

Simplify using the distributive property
2(c - 8)

• 2c - 16
• 2c + 16
• 2c - 8
• c - 16